10w22 Polynomials and Radical Expressions

Simplifying Polynomials

100

Simplify (2mn²)(5m²n)

10m³n³

200

Simplify 8/(m⁰+n⁰)

4

300

Simplify (1+4m)²

1+8m+16m²

400

Simplify (x²+xy+y²)(x-y)

x³-y³

500

Simplify (6x³-19x²+x+6)/(x-3)

6x²-x-2

Factoring

100

Factor Completely 10a³b-12a²b²

2a²b(5a-6b)

200

Factor Completely 3n²-21n-24

3(n+8)(n-1)

300

Factor Completely m²n²+mn+1

Prime

400

Factor Completely y⁴-16

(y²+4)(y+2)(y-2)

500

Factor Completely 3x³+2x²-5x+9x²y+6xy-15y

(x+3y)(3x+5)(x-1)

Roots and Radicals

100

Simplify +/- the square root of 121

+/- 11

200

Simplify the square root of 36g⁶

6 times the absolute value of g³

300

Simplify the third root of 8b³c³

2bc

400

Simplify the square root of 98 minus the square root of 72 plus the square root of 32

5 square roots of 2

500

Simplify the square root of a⁴/b³

(a² square roots of b)/(b²)

Rational Exponents

100

Evaluate 100^-1/2

1/10

200

Simplify (2m)^1/2m^1/2

m square roots of 2

300

Simplify 1/(w^4/5)

(w^1/5)/w

400

Simplify (m^-2/3)^-1/6

m^1/9

500

Simplify the fourth root of 49

The square root of 7

Complex Numbers

100

Simplify the square root of -169

13i

200

Simplify (2i)²

-4

300

Simplify (3-4i)²

-7-24i

400

Simplify 3(-5-2i)+2(-3+2i)

-21-2i

500

Simplify (7-i)(4+2i)(5+2i)

-220-40i